Advanced Problems in Mathematics
Advanced Problems in Mathematics

Author: Stephen Siklos

Publisher:

Published: 2019-10-16

Total Pages: 188

ISBN-13: 9781783747764

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This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

Cambridge Primary Mathematics Stage 6 Games Book with CD-ROM
Cambridge Primary Mathematics Stage 6 Games Book with CD-ROM

Author: Emma Low

Publisher: Cambridge University Press

Published: 2014-05-22

Total Pages: 121

ISBN-13: 110766781X

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This series is endorsed by Cambridge International Examinations and is part of Cambridge Maths. Learners will reinforce their mathematical understanding in an enjoyable way with the fun games in this stage 6 games book resource for teachers. Instructions for teachers or parents are provided and direct links to both the course objectives and activities in the teacher's guide are made, making this the perfect resource for additional class activity or homework. All photocopiable resources needed to play the games are included in the book and on the CD, so learners can start playing straight away. Projectable instructions for the learners are also included on the CD.

How to Be Good at Math Workbook, Grades 4-6
How to Be Good at Math Workbook, Grades 4-6

Author: DK

Publisher: Penguin

Published: 2021-12-28

Total Pages: 178

ISBN-13: 0744057973

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PLEASE NOTE - this is a replica of the print book and you will need paper and a pencil to complete the exercises. Love it or hate it, maths is an essential subject to know. Now you can master it with this colorful practice ebook. Do you feel a bit left behind in maths class? Or are you a maths genius and want to practice more at home? DK's How to be Good at Maths course book for children aged 7-12 now has two accompanying workbooks: Workbook 1 covers ages 7-9 and Workbook 2 covers ages 9-12. These workbooks will help to cement everything you need to know about maths through practice questions and practical exercises. Easy-to-follow instructions allow you to try out what you've studied, helping you understand what you've learned in school or giving extra revision practice before that important test. Workbook 2 is aimed at children aged 9-12 (Upper Key Stage 2 in the UK, Grades 4, 5, and 6 in the US), and covers all the key areas of the school curriculum for this level, including working with fractions and decimal numbers, percentages, long multiplication and division, measurement, geometry, coordinates, statistics, probability, and basic algebra. And there are answers at the back to check that you're on the right path. This workbook accompanies DK's How to be Good at Maths coursebook, but can also be used on its own to reinforce classroom teaching.

Mine the Gap for Mathematical Understanding, Grades 6-8
Mine the Gap for Mathematical Understanding, Grades 6-8

Author: John SanGiovanni

Publisher: Corwin Press

Published: 2017-09-12

Total Pages: 409

ISBN-13: 1506379834

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Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni and Jennifer Rose Novak help us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. The authors lay out 180 high-quality tasks aligned to the standards and big ideas of Grades 6–8 mathematics, including number systems, integers, ratio and proportion, equations and expressions, geometry, and statistics and probability. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task four student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning, better at discerning the quality and clarity of students’ understanding, and better at planning teaching based on the gaps you see.